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Finding the Fourth Proportional to 457,720, 631,692.48 and 256,554.88

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Solution

The fourth proportional to 457,720, 631,692.48 and 256,554.88 is: 354,067.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,720 : 631,692.48 = 256,554.88 : x
  2. Step 2: Convert to fraction form
    457,720/631,692.48 = 256,554.88/x
  3. Step 3: Cross multiply
    457,720x = 631,692.48 × 256,554.88
  4. Step 4: Simplify right side
    457,720x = 162,063,788,403.30
  5. Step 5: Solve for x
    x = 162,063,788,403.30/457,720
  6. Step 6: Final answer
    x = 354,067.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.